期刊
PHYSICAL REVIEW B
卷 104, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.045417
关键词
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资金
- European Research Council Starting Grant ODYSSEY [G. A. 758403]
- SFI-Royal Society University Research Fellowship scheme
- Science Foundation Ireland [18/SIRG/5508]
- European Unions Horizon 2020 research and innovation program under the H2020 Marie Sklodowska-Curie Actions Grant [890884]
- FQXi [DFG FOR2724]
- Ministerio de Ciencia, Innovacion y Universidades (SPAIN)
- Fundacion Seneca (Murcia, Spain) [19882/GERM/15]
- FEDER [PGC2018-097328-B100]
- Marie Curie Actions (MSCA) [890884] Funding Source: Marie Curie Actions (MSCA)
- Science Foundation Ireland (SFI) [18/SIRG/5508] Funding Source: Science Foundation Ireland (SFI)
This paper develops a general formalism to access the full non-Markovian dynamics of interacting quantum many-body systems. It shows how to faithfully reconstruct exact dynamics through finite-sized baths, even in parameter regimes inaccessible by current state-of-the-art techniques.
Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of strong correlations in the system, the infinite nature of the baths and the long time to reach steady state. In this paper, we develop a general formalism that allows access to the full non-Markovian dynamics of such open quantum many-body systems up to the nonequilibrium steady state, provided its uniqueness. Specifically, we show how finite-time evolution in the presence of finite-sized baths, whose opportune size is determined by their original spectral density, can be recursively used to faithfully reconstruct the exact dynamics without requiring any small parameter. Such a reconstruction is possible even in parameter regimes which would otherwise be inaccessible by current state-of-the-art techniques. We specifically demonstrate this by obtaining the full numerically exact non-Markovian dynamics of interacting fermionic chains in two terminal setups with finite temperature and voltage biases, a problem which previously remained outstanding despite its relevance in a wide range of contexts, for example, quantum heat engines and refrigerators.
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